Question

hapes and scale drawings. 22. shelby drew a map of the appalachian trail using the scale 5 centimeters equals 400 kilometers. the map shows the appalachian trail to be 43.75 centimeters. what is the actual length of the appalachian trail?

Explanation:

Step1: Find the scale factor per centimeter

First, we know that 5 centimeters on the map represents 400 kilometers in actual. So we find out how many kilometers 1 centimeter on the map represents. We do this by dividing the actual distance by the map distance. So, the scale factor per centimeter is $\frac{400}{5}$ kilometers per centimeter.
$\frac{400}{5} = 80$ kilometers per centimeter.

Step2: Calculate the actual length

Now, the map length of the Appalachian Trail is 43.75 centimeters. To find the actual length, we multiply the map length by the scale factor per centimeter. So, actual length $= 43.75\times80$ kilometers.
$43.75\times80 = 3500$ kilometers.

Answer:

The actual length of the Appalachian Trail is 3500 kilometers.